Presentations and Tietze transformations of C*-algebras
Will Grilliette

TL;DR
This paper introduces a new presentation theory for C*-algebras, including Tietze transformations, establishing a transformation theorem similar to classical results in group theory.
Contribution
It develops a novel framework for presenting C*-algebras and introduces Tietze transformations, bridging algebraic presentation theory with operator algebras.
Findings
Defined Tietze transformations for C*-algebra presentations
Proved a transformation theorem analogous to Tietze's result in group theory
Established a new perspective on algebraic presentations of C*-algebras
Abstract
In this work, I develop a new view of presentation theory for C*-algebras, both unital and non-unital, heavily grounded in classical notions from algebra. In particular, I introduce Tietze transformations for these presentations, which lead to a transformation theorem analogous to Tietze's 1908 result in group theory.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Advanced Banach Space Theory
